To solve these equations, we will isolate the variable on one side of the equation and then square both sides to eliminate the square root.

1) √(4-x) = 4
Square both sides:
4-x = 16
-x = 12
x = -12

2) √(2x-6) = 5
Square both sides:
2x-6 = 25
2x = 31
x = 31/2

3) 2 + √(2x-7) = x
Substitute the value of x from the second equation:
2 + √(2(31/2)-7) = 31/2
2 + √(31-7) = 31/2
2 + √24 = 31/2
√24 = 31/2 - 2
√24 = 27/2
24 = 729/4
x = 729/4

Therefore, the solutions to the system of equations are:
x = -12, x = 31/2, x = 729/4